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Finding the Fourth Proportional to 416,877.86, 575,293.45 and 225,891.61

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Solution

The fourth proportional to 416,877.86, 575,293.45 and 225,891.61 is: 311,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,877.86 : 575,293.45 = 225,891.61 : x
  2. Step 2: Convert to fraction form
    416,877.86/575,293.45 = 225,891.61/x
  3. Step 3: Cross multiply
    416,877.86x = 575,293.45 × 225,891.61
  4. Step 4: Simplify right side
    416,877.86x = 129,953,960,201.76
  5. Step 5: Solve for x
    x = 129,953,960,201.76/416,877.86
  6. Step 6: Final answer
    x = 311,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.